Answer to Question #180743 in Optics for Mohammed Musa Dabo

Question #180743


A viewing screen is separate from double slit source by 1.2m the distance between the two slits is 0.03mm the second order bright fringe (m=2)is 4.5cm from the center line .(a) determine the wavelength of the light.(b) calculate the distance between adjaseet bright fringe



1
Expert's answer
2021-04-14T05:13:43-0400


Solution:-

Given

Screen is separated from double slit

D = 1.2m


Distance between two slits ( d) is 0.030 mm


Second order bight fringe is 4.5 cm from center line



Usimh

"\\boxed{ y_2= {2\\lambda D\\over d}}"


"\\implies"


"\\boxed{ \\lambda= {y_2 d\\over 2D}}"


"\\boxed{ \\lambda= {45\\times 3 \\times 10^{-3}\\over 2.4}}"


"\\implies"

(a)

"\\boxed { \\lambda = 562.5nm }"



Distance between adjacent bright fringe

(b)


"\\boxed{\\Delta y= {\\lambda d\\over d} = 22.5\\times 10^{-3}mm}"




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